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Finding the Fourth Proportional to 2,265.23, 3,397.73 and 804.35

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Solution

The fourth proportional to 2,265.23, 3,397.73 and 804.35 is: 1,206.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,265.23 : 3,397.73 = 804.35 : x
  2. Step 2: Convert to fraction form
    2,265.23/3,397.73 = 804.35/x
  3. Step 3: Cross multiply
    2,265.23x = 3,397.73 × 804.35
  4. Step 4: Simplify right side
    2,265.23x = 2,732,943.12
  5. Step 5: Solve for x
    x = 2,732,943.12/2,265.23
  6. Step 6: Final answer
    x = 1,206.48

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.